Question

neighborhoods of x. can someone explain to me or help me to see what this means?

Answer 1

that's not enough info to work with... is there more to the question?

Neighborhoods of x could mean "x values around a particular x"

but there is no way to know based on what you asked...

Answer 2

"x is a limit point of S if any neighborhood of x contains points of S other than x" this definition

Answer 3

I don't understand what they mean by ANY neighborhood of x. a neighborhood of x is a radius of points around x. so.. what is ANY neighbhorood of x?

Answer 4

with that description, I would say a neighborhood is equivalent to a radius around x.

a neighborhood of 3 around x would be a circle of radius 3 around x... any point is "in the neighborhood"

Answer 5

oh i guess that does make sense. so for (x+d, x-d), are they saying any value of d is a neihgbhorood of x?

Answer 6

ok i think i understand it now. thanx

Answer 7

yes, sorry... I stepped away... but yes, I think you have the idea.

What class is this?

Answer 8

it's called intermediate analysis, but ive seen it called advanced calculus.. this section is on topology i guess. it is difficult to wrap one's head around -_-

Answer 9

:)